Here is a plot of the Inverse Riemann Spektrum in the range 10 – 100. The first 2000 zeros of Riemann’s Zeta-function have been evaluated. Prime numbers and their powers have been marked on the x-axis (big / small red circles). For Zooming into the picture please click on it.
The following sum formula which shows very impressive peaks at the positions of primes and their powers. The formula displays the ‘Inverse Riemann spectrum’ of the non trivial roots of the zeta function: Here the sum goes over the imaginary parts of the non trivial zeros of Riemanns Zeta function, taking nmax zeros. The…
Find the Christmas tree in the following picture! To take part in the game, please click on the link (it may take a few seconds to load the image). You can find out more if you click on the Christmas tree! As a reward you will get a free 1000 digit prime! Find the Christmas…
The 51st known Mersenne prime was discovered on December 7, 2018. It is: Source: https://www.mersenne.org.
The new correction sheet (as of 27.11.2018) is available as a PDF in the download section. There are a few minor corrections concerning Perrin sequences in chapters 4.10.1.4 and 20.3.
In the download area a supplement for the chapter 20.8 (vrtual OCRONs) is available for download. Interesting new, unexpected connections arise between the theory of graphs (Matula-Goebel numbers) and theory of prime numbers! ->get supplement The ‘hierarchies’ of arithmetic are also reflected by the principle of virtual OCRONs ..
